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George Boole

and the Truth Tables

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Test Corrections & Makeup

Tuesday

(Today)

Wednesday

Thursday

Friday

Corrections

Corrections

Corrections

Makeup Test

Corrections

Pass Makeup Test?

Grade goes up to 70

Get an A on Makeup Test?

Get half point back!

Makeup test will not cause grade to go down

Must do corrections in tutorials in order to take makeup test

3 of 27

Elementary Algebra

Operators

Addition +

Subtraction -

Multiplication *

Division /

Equality =

Values

Integers (… -2, -1, 0, 1, 2 …),

Real Numbers,

Irrational Numbers…

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Boolean Algebra

Operators

AND &&

OR ||

NOT !

NOT EQUALS !=

EQUALS ==

Values

true

false

Expressions

true && false

A || B

var == false

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AND

If A and B are both true, then A && B evaluates to true,

otherwise it is false.

A

B

A && B

false

false

false

false

true

false

true

false

false

true

true

true

A 🡪 it is raining

B 🡪 it is Monday

if A && B then wear a green hat

Truth Table

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Enumerating Boolean Values

How many different values can you store in 1 Boolean variable?

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Enumerating Boolean Values

A

false

true

How many different values can you store in 1 Boolean variable?

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Enumerating Boolean Values

How many different values can you store in 2 Boolean variables?

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Enumerating Boolean Values

A

B

false

false

false

true

How many different values can you store in 2 Boolean variables?

When A is false, B could be false or true.

When A is true, B could be false or true

A

B

true

false

true

true

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Enumerating Boolean Values

A

B

false

false

true

true

false

true

How many different values can you store in 2 Boolean variables?

A

false

true

A

B

false

false

false

true

true

false

true

true

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Enumerating Boolean Values

A

B

false

false

true

true

false

true

How many different values can you store in 3 Boolean variables?

A

B

false

false

false

true

true

false

true

true

A

B

C

false

false

false

true

true

false

true

true

false

false

true

true

false

true

A

B

C

false

false

false

false

false

true

false

true

false

false

true

true

true

false

false

true

false

true

true

true

false

true

true

true

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OR

If either A or B is true, then A || B evaluates to true,

otherwise it is false.

A

B

A || B

false

false

false

false

true

true

true

false

true

true

true

true

A 🡪 it is raining

B 🡪 it is Monday

if A || B then wear a green hat

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Equals

If A is the same as B, then A == B evaluates to true,

otherwise it is false.

If A is not the same as B, then A != B evaluates to true,

otherwise it is false.

A

B

A == B

A != B

false

false

true

false

false

true

false

true

true

false

false

true

true

true

true

false

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AND and OR

A

B

A && B

A || B

false

false

false

false

false

true

false

true

true

false

false

true

true

true

true

true

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Not

If A is true, then !A evaluates to false,

otherwise it is true.

A

!A

false

true

true

false

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Boolean Algebra

A

B

A && B

A || B

A == B

A != B

!A

false

false

false

false

true

false

true

false

true

false

true

false

true

false

true

false

false

true

false

true

true

true

true

true

true

false

&& Both values are true (TT)

|| Either value is true (FT, TF, TT)

== Both values are the same (TT, FF)

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Boolean Operators and if-statements

if( a )

{

if( b )

{

}

}

if( a && b )

{

}

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Boolean Operators and if-statements

if( a )

{

}

else if( b )

{

}

if( a || b )

{

}

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Boolean Operators and if-statements

if( a )

{

}

else

{

}

if( !a )

{

}

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FUNSHEET

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Mayflower, detecting a key hold

What does this do?

if( Mayflower.isKeyDown(Keyboard.KEY_SPACE) )

{

actor.move(1);

}

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Mayflower, detecting a key hold

What does this do?

if( Mayflower.isKeyDown(Keyboard.KEY_SPACE) )

{

actor.move(1);

}

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wasKeyDown?

if( Mayflower.wasKeyDown(Keyboard.KEY_SPACE) )

{

actor.move(1);

}

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Write the condition for the if-statement so that it moves the actor 1 pixel only if the SPACE key was pressed for the first time this frame.

if( ??? )

{

actor.move(1);

}

Mayflower.isKeyDown( Keyboard.KEY_SPACE)

Mayflower.wasKeyDown( Keyboard.KEY_SPACE)

&& || ! == !=

Only moves in this frame

Funtivity!

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If the key is pressed now and it wasn’t pressed last update, then…

if( Mayflower.isKeyDown(Keyboard.KEY_SPACE) &&

!Mayflower.wasKeyDown(Keyboard.KEY_SPACE)

)

{

actor.move(1);

}

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Mayflower Collision Checking

isTouching( Blah.class )

This method can be called inside the act method of an Actor.

It evaluates to true if that actor is touching any actor of the specified type (Blah)

public class Sonic

{

public void act()

{

if( isTouching(Ring.class) )

{

score++;

}

}

}

Sonic

Ring

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Lab 2.1 Frogger

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